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Volumn 63, Issue 1, 2001, Pages

Logistic map with a delayed feedback: Stability of a discrete time-delay control of chaos

Author keywords

[No Author keywords available]

Indexed keywords


EID: 18644382464     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.016210     Document Type: Article
Times cited : (32)

References (41)
  • 11
    • 85035284895 scopus 로고    scopus 로고
    • Report Amst. Math. Centre, TW 245 (1983)
    • H. A. Lauwerier, Report Amst. Math. Centre, TW 245 (1983).
    • Lauwerier, H.A.1
  • 13
    • 34250315551 scopus 로고
    • references therein
    • TDAS stands for time-delay autosynchronization; see K. Pyragas, Phys. Lett. A 170, 421 (1992), and references therein.
    • (1992) Phys. Lett. A , vol.170 , pp. 421
    • Pyragas, K.1
  • 35
    • 85035258867 scopus 로고    scopus 로고
    • Neimark bifurcation is a discrete-time analogue of the Hopf bifurcation appearing in flows; see e.g., J. M. T. Thompson and H. B. Stewart, Nonlinear Dynamics and Chaos (Wiley, Chichester, 1987)
    • Neimark bifurcation is a discrete-time analogue of the Hopf bifurcation appearing in flows; see e.g., J. M. T. Thompson and H. B. Stewart, Nonlinear Dynamics and Chaos (Wiley, Chichester, 1987).
  • 37
    • 85035269778 scopus 로고    scopus 로고
    • Preliminary numerical tests show that stability is possible for (Formula presented)
    • Preliminary numerical tests show that stability is possible for (Formula presented)
  • 38
    • 85035258563 scopus 로고    scopus 로고
    • The free term of the equation (Formula presented) is equal to the product of λ taken with the sign dependent on the parity of D
    • The free term of the equation (Formula presented) is equal to the product of λ taken with the sign dependent on the parity of D.
  • 39
    • 0003582543 scopus 로고
    • Cambridge University Press, Cambridge, England
    • E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, England, 1993).
    • (1993) Chaos in Dynamical Systems
    • Ott, E.1
  • 40
    • 85035294950 scopus 로고    scopus 로고
    • This is due to the fact that the eigenvalue of the logistic map is negative, so the feedback has an opposite sign to that of the map function itself. W. Jansen (private communication)
    • This is due to the fact that the eigenvalue of the logistic map is negative, so the feedback has an opposite sign to that of the map function itself. W. Jansen (private communication).
  • 41
    • 85035254184 scopus 로고    scopus 로고
    • T. Buchner, Ph.D. thesis (in preparation)
    • T. Buchner, Ph.D. thesis (in preparation).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.